Question

The table below lists the number of games played in a yearly​ best-of-seven baseball championship​ series, along with the expected proportions for the number of games played with teams of equal abilities. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions.

Games Played_Actual Contests_Expected Proportion

4_17_2/16

5_21_4/16

6_23_5/16

7_35_5/16

What is the test statistic x^2 ?

What is the critical value?

What is the P-value?

Answer 1

ho: actual numbers of games fit the distribution indicated by the expected proportions
h1: actual numbers of games doesn't fit the distribution indicated by the expected proportions

a)

	Oi	pi = 1/6	Ei = pi*N	(Oi-ei)^2/Ei
	17	0.1250	12	2.08
	21	0.2500	24	0.38
	23	0.3125	30	1.63
	35	0.3125	30	0.83
SUM	96	1	96	4.93

chisq=   4.925   = sum(Oi-Ei)^2/Ei  

b)          
alpha=   0.05      
k=   4.00      
critival value=   CHISQ.INV.RT(0.05,4-1)=   7.815  
          
c)
p-value=   0.177372115   CHISQ.TEST(B2:B4,D2:D4)  

With chisq(4)=4.925, p>5%, i fail to reject ho and conclude that actual numbers of games fit the distribution indicated by the expected proportions